- 作者: 王偉哲; 林貫中
- 作者服務機構: 中興大學應用數學研究所
- 中文摘要: 本文主旨在於結合高階板理論與有限帶素法應用於分析複合材料積層板之自然頻率。之所以採用上述此種結合的原因有二;第一,由於高階板理論之非線性位移場可有效地解決積層板由於層與層間材料異質性所產生之斷面扭曲問題,故不需橫向剪力修正係數,即可準確預測複合材料積層板的勁度。第二,有限帶素法乃是在Y方向探用級數解之半解析法,較符合Y方向之支承條件,故比高階位移有限元素法準確,且只在板的X方向分割帶素,能節省大量自由度與記憶體空間。為驗證本法之適用性與準確性,本文分析不同層數之直交與斜交堆疊積層板之自然頻率,並與Noor及Bert與Chen之解析解比較,所得結果甚佳,並具良好之收斂性與穩定性。
- 英文摘要: A higher-order shear deformable plate finite strip element is developed and employed to investigate thefundamental frequency of composite laminated plates. The warping of cross sections and transverse shear deformationcan be accurately predicted by higher-order plate theory. Meanwhile, only a few degrees of freedom are requiredin the finite strip method. The good convergence characteristics of the finite strip approach and the relative efficiencyof particular economization schemes are then demonstrated through several numerical results.
- 中文關鍵字: higner-order plate theory; finite strip method; free vibration
- 英文關鍵字: --